Methods of Algebraic Geometry in Control Theory: Multivariable Linear Systems and Projective Algebraic Geometry Pt. 2 - Hardcover

Peter Falb

Hardcover

ISBN 10: 3764341130 ISBN 13: 9783764341138

Publisher: Birkhauser Verlag AG, 1999

Synopsis

1 Scalar Input or Scalar Output Systems.- 2 Two or Three Input, Two Output Some Examples.- 3 The Transfer and Hankel Matrices.- 4 Polynomial Matrices.- 5 Projective Space.- 6 Projective Algebraic Geometry Basic Concepts.- 7 Projective Algebraic Geometry Regular Functions, Local Rings, Morphisms.- 8 Exterior Algebra and Grassmannians.- 9 The Laurent Isomorphism I.- 10 Projective Algebraic Geometry Products, Graphs, Projections.- 11 The Laurent Isomorphism II.- 12 Projective Algebraic Geometry Families, Projections, Degree.- 13 The State Realizations, Controllability, Observability, Equivalence.- 14 Projective Algebraic Geometry Fibers of Morphisms.- 15 Projective Algebraic Geometry Tangents, Differentials, Simple Subvarieties.- 16 The Geometric Quotient Theorem.- 17 Projective Algebraic Geometry Divisors.- 18 Projective Algebraic Geometry Intersections.- 19 State Feedback.- 20 Output Feedback.- Appendices.- A Formal Power Series, Completions, Regular Local Rings, and Hubert Polynomials.- B Specialization, Generic Points and Spectra.- C Differentials.- D The Space.- E Review of Affine Algebraic Geometry.- References.- Glossary of Notations.

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 1999
• Language: English
• ISBN 10: 3764341130
• ISBN 13: 9783764341138
• Binding: Hardcover
• Number of pages: 368